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SageMath
E = EllipticCurve("hi1")
E.isogeny_class()
Elliptic curves in class 426888.hi
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 426888.hi1 | 426888hi1 | \([0, 0, 0, 101154669, -933895774658]\) | \(50250332/194481\) | \(-443016350951160383613748224\) | \([]\) | \(129761280\) | \(3.7957\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 426888.hi1 has rank \(0\).
Complex multiplication
The elliptic curves in class 426888.hi do not have complex multiplication.Modular form 426888.2.a.hi
sage: E.q_eigenform(10)